10. Find the multiplicative inverse of x² + 1 in Q[x]/(x4 - 2). doute

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 51E
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(3.7) #10
VS8+ 9. Let p(x) = x² + x + 1 in Z₂[x]. Write down the mu
Tariad od Z₂[x]/(p(x)).
Lone
plication table for
(941
2
10. Find the multiplicative inverse of x² +1 in Q[x]/(x4 - 2).
11. Let p(x) = x² +1 in Z3[x]. Write down the multiplication table for F3 =
Z3[x]/(p(x)).
YRAMMUZ
Transcribed Image Text:VS8+ 9. Let p(x) = x² + x + 1 in Z₂[x]. Write down the mu Tariad od Z₂[x]/(p(x)). Lone plication table for (941 2 10. Find the multiplicative inverse of x² +1 in Q[x]/(x4 - 2). 11. Let p(x) = x² +1 in Z3[x]. Write down the multiplication table for F3 = Z3[x]/(p(x)). YRAMMUZ
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